text: ///////////////////////////////////////////////////////////////
  //  Copyright 2011 John Maddock. Distributed under the Boost
  //  Software License, Version 1.0. (See accompanying file
  //  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
  
  #define BOOST_CHRONO_HEADER_ONLY
  
  #ifdef _MSC_VER
  #  define _SCL_SECURE_NO_WARNINGS
  #endif
  
  #if !defined(TEST_MPF) && !defined(TEST_MPZ) && \
     !defined(TEST_CPP_DEC_FLOAT) && !defined(TEST_MPFR) && !defined(TEST_MPQ) \
     && !defined(TEST_TOMMATH) && !defined(TEST_TOMMATH_BOOST_RATIONAL) && !defined(TEST_MPZ_BOOST_RATIONAL)\
     && !defined(TEST_CPP_INT) && !defined(TEST_CPP_INT_RATIONAL) && !defined(TEST_CPP_BIN_FLOAT)
  #  define TEST_MPF
  #  define TEST_MPZ
  #  define TEST_MPQ
  #  define TEST_MPFR
  #  define TEST_CPP_DEC_FLOAT
  #  define TEST_MPQ
  #  define TEST_TOMMATH
  #  define TEST_CPP_INT
  #  define TEST_CPP_INT_RATIONAL
  #  define TEST_CPP_BIN_FLOAT
  
  #ifdef _MSC_VER
  #pragma message("CAUTION!!: No backend type specified so testing everything.... this will take some time!!")
  #endif
  #ifdef __GNUC__
  #pragma warning "CAUTION!!: No backend type specified so testing everything.... this will take some time!!"
  #endif
  
  #endif
  
  #if defined(TEST_MPF) || defined(TEST_MPZ) || defined(TEST_MPQ) || defined(TEST_MPZ_BOOST_RATIONAL)
  #include <boost/multiprecision/gmp.hpp>
  #include <boost/multiprecision/rational_adaptor.hpp>
  #endif
  #ifdef TEST_CPP_DEC_FLOAT
  #include <boost/multiprecision/cpp_dec_float.hpp>
  #endif
  #ifdef TEST_CPP_BIN_FLOAT
  #include <boost/multiprecision/cpp_bin_float.hpp>
  #endif
  #if defined(TEST_MPFR)
  #include <boost/multiprecision/mpfr.hpp>
  #endif
  #if defined(TEST_TOMMATH) || defined(TEST_TOMMATH_BOOST_RATIONAL)
  #include <boost/multiprecision/tommath.hpp>
  #include <boost/multiprecision/rational_adaptor.hpp>
  #endif
  #if defined(TEST_CPP_INT) || defined(TEST_CPP_INT_RATIONAL)
  #include <boost/multiprecision/cpp_int.hpp>
  #endif
  
  #include <boost/chrono.hpp>
  #include <vector>
  #include <map>
  #include <string>
  #include <cstring>
  #include <cctype>
  #include <iostream>
  #include <iomanip>
  #include <boost/random/mersenne_twister.hpp>
  #include <boost/random/uniform_int.hpp>
  
  template <class Clock>
  struct stopwatch
  {
     typedef typename Clock::duration duration;
     stopwatch()
     {
        m_start = Clock::now();
     }
     duration elapsed()
     {
        return Clock::now() - m_start;
     }
     void reset()
     {
        m_start = Clock::now();
     }
  
  private:
     typename Clock::time_point m_start;
  };
  
  unsigned bits_wanted; // for integer types
  
  template <class T, int Type>
  struct tester
  {
     tester()
     {
        a.assign(500, 0);
        for(int i = 0; i < 500; ++i)
        {
           b.push_back(generate_random());
           c.push_back(generate_random());
           small.push_back(gen());
        }
     }
     double test_add()
     {
        stopwatch<boost::chrono::high_resolution_clock> w;
        for(unsigned i = 0; i < 1000; ++i)
        {
           for(unsigned i = 0; i < b.size(); ++i)
              a[i] = b[i] + c[i];
        }
        return boost::chrono::duration_cast<boost::chrono::duration<double> >(w.elapsed()).count();
     }
     double test_subtract()
     {
        stopwatch<boost::chrono::high_resolution_clock> w;
        for(unsigned i = 0; i < 1000; ++i)
        {
           for(unsigned i = 0; i < b.size(); ++i)
              a[i] = b[i] - c[i];
        }
        return boost::chrono::duration_cast<boost::chrono::duration<double> >(w.elapsed()).count();
     }
     double test_add_int()
     {
        stopwatch<boost::chrono::high_resolution_clock> w;
        for(unsigned i = 0; i < 1000; ++i)
        {
           for(unsigned i = 0; i < b.size(); ++i)
              a[i] = b[i] + 1;
        }
        return boost::chrono::duration_cast<boost::chrono::duration<double> >(w.elapsed()).count();
     }
     double test_subtract_int()
     {
        stopwatch<boost::chrono::high_resolution_clock> w;
        for(unsigned i = 0; i < 1000; ++i)
        {
           for(unsigned i = 0; i < b.size(); ++i)
              a[i] = b[i] - 1;
        }
        return boost::chrono::duration_cast<boost::chrono::duration<double> >(w.elapsed()).count();
     }
     double test_multiply()
     {
        stopwatch<boost::chrono::high_resolution_clock> w;
        for(unsigned i = 0; i < 1000; ++i)
        {
           for(unsigned k = 0; k < b.size(); ++k)
              a[k] = b[k] * c[k];
        }
        return boost::chrono::duration_cast<boost::chrono::duration<double> >(w.elapsed()).count();
     }
     double test_multiply_int()
     {
        stopwatch<boost::chrono::high_resolution_clock> w;
        for(unsigned i = 0; i < 1000; ++i)
        {
           for(unsigned i = 0; i < b.size(); ++i)
              a[i] = b[i] * 3;
        }
        return boost::chrono::duration_cast<boost::chrono::duration<double> >(w.elapsed()).count();
     }
     double test_divide()
     {
        stopwatch<boost::chrono::high_resolution_clock> w;
        for(unsigned i = 0; i < 1000; ++i)
        {
           for(unsigned i = 0; i < b.size(); ++i)
              a[i] = b[i] / c[i] + b[i] / small[i];
        }
        return boost::chrono::duration_cast<boost::chrono::duration<double> >(w.elapsed()).count();
     }
     double test_divide_int()
     {
        stopwatch<boost::chrono::high_resolution_clock> w;
        for(unsigned i = 0; i < 1000; ++i)
        {
           for(unsigned i = 0; i < b.size(); ++i)
              a[i] = b[i] / 3;
        }
        return boost::chrono::duration_cast<boost::chrono::duration<double> >(w.elapsed()).count();
     }
     double test_str(const boost::mpl::false_&)
     {
        stopwatch<boost::chrono::high_resolution_clock> w;
        for(unsigned i = 0; i < b.size(); ++i)
           a[i] = boost::lexical_cast<T>(boost::lexical_cast<std::string>(b[i]));
        return boost::chrono::duration_cast<boost::chrono::duration<double> >(w.elapsed()).count();
     }
     double test_str(const boost::mpl::true_&)
     {
        stopwatch<boost::chrono::high_resolution_clock> w;
        for(unsigned i = 0; i < b.size(); ++i)
           a[i].assign(b[i].str());
        return boost::chrono::duration_cast<boost::chrono::duration<double> >(w.elapsed()).count();
     }
     double test_str()
     {
        return test_str(boost::is_class<T>());
     }
     //
     // The following tests only work for integer types:
     //
     double test_mod()
     {
        stopwatch<boost::chrono::high_resolution_clock> w;
        for(unsigned i = 0; i < 1000; ++i)
        {
           for(unsigned i = 0; i < b.size(); ++i)
              a[i] = b[i] % c[i] + b[i] % small[i];
        }
        return boost::chrono::duration_cast<boost::chrono::duration<double> >(w.elapsed()).count();
     }
     double test_mod_int()
     {
        stopwatch<boost::chrono::high_resolution_clock> w;
        for(unsigned i = 0; i < 1000; ++i)
        {
           for(unsigned i = 0; i < b.size(); ++i)
              a[i] = b[i] % 254;
        }
        return boost::chrono::duration_cast<boost::chrono::duration<double> >(w.elapsed()).count();
     }
     double test_or()
     {
        stopwatch<boost::chrono::high_resolution_clock> w;
        for(unsigned i = 0; i < 1000; ++i)
        {
           for(unsigned i = 0; i < b.size(); ++i)
              a[i] = b[i] | c[i];
        }
        return boost::chrono::duration_cast<boost::chrono::duration<double> >(w.elapsed()).count();
     }
     double test_or_int()
     {
        stopwatch<boost::chrono::high_resolution_clock> w;
        for(unsigned i = 0; i < 1000; ++i)
        {
           for(unsigned i = 0; i < b.size(); ++i)
              a[i] = b[i] | 234;
        }
        return boost::chrono::duration_cast<boost::chrono::duration<double> >(w.elapsed()).count();
     }
     double test_and()
     {
        stopwatch<boost::chrono::high_resolution_clock> w;
        for(unsigned i = 0; i < 1000; ++i)
        {
           for(unsigned i = 0; i < b.size(); ++i)
              a[i] = b[i] & c[i];
        }
        return boost::chrono::duration_cast<boost::chrono::duration<double> >(w.elapsed()).count();
     }
     double test_and_int()
     {
        stopwatch<boost::chrono::high_resolution_clock> w;
        for(unsigned i = 0; i < 1000; ++i)
        {
           for(unsigned i = 0; i < b.size(); ++i)
              a[i] = b[i] & 234;
        }
        return boost::chrono::duration_cast<boost::chrono::duration<double> >(w.elapsed()).count();
     }
     double test_xor()
     {
        stopwatch<boost::chrono::high_resolution_clock> w;
        for(unsigned i = 0; i < 1000; ++i)
        {
           for(unsigned i = 0; i < b.size(); ++i)
              a[i] = b[i] ^ c[i];
        }
        return boost::chrono::duration_cast<boost::chrono::duration<double> >(w.elapsed()).count();
     }
     double test_xor_int()
     {
        stopwatch<boost::chrono::high_resolution_clock> w;
        for(unsigned i = 0; i < 1000; ++i)
        {
           for(unsigned i = 0; i < b.size(); ++i)
              a[i] = b[i] ^ 234;
        }
        return boost::chrono::duration_cast<boost::chrono::duration<double> >(w.elapsed()).count();
     }
     double test_complement()
     {
        stopwatch<boost::chrono::high_resolution_clock> w;
        for(unsigned i = 0; i < 1000; ++i)
        {
           for(unsigned i = 0; i < b.size(); ++i)
              a[i] = ~b[i];
        }
        return boost::chrono::duration_cast<boost::chrono::duration<double> >(w.elapsed()).count();
     }
     double test_left_shift()
     {
        int shift = std::numeric_limits<T>::is_bounded ? std::numeric_limits<T>::digits : bits_wanted;
        shift /= 2;
        stopwatch<boost::chrono::high_resolution_clock> w;
        for(unsigned i = 0; i < 1000; ++i)
        {
           for(unsigned i = 0; i < b.size(); ++i)
              a[i] = b[i] << shift;
        }
        return boost::chrono::duration_cast<boost::chrono::duration<double> >(w.elapsed()).count();
     }
     double test_right_shift()
     {
        int shift = std::numeric_limits<T>::is_bounded ? std::numeric_limits<T>::digits : bits_wanted;
        shift /= 2;
        stopwatch<boost::chrono::high_resolution_clock> w;
        for(unsigned i = 0; i < 1000; ++i)
        {
           for(unsigned i = 0; i < b.size(); ++i)
              a[i] = b[i] >> shift;
        }
        return boost::chrono::duration_cast<boost::chrono::duration<double> >(w.elapsed()).count();
     }
     double test_gcd()
     {
        using boost::math::gcd;
        stopwatch<boost::chrono::high_resolution_clock> w;
        for(unsigned i = 0; i < 1000; ++i)
        {
           for(unsigned i = 0; i < b.size(); ++i)
              a[i] = gcd(b[i], c[i]);
        }
        return boost::chrono::duration_cast<boost::chrono::duration<double> >(w.elapsed()).count();
     }
     double test_powm()
     {
        stopwatch<boost::chrono::high_resolution_clock> w;
        for(unsigned i = 0; i < 25; ++i)
        {
           for(unsigned i = 0; i < b.size(); ++i)
              a[i] = powm(b[i], b[i] / 2, c[i]);
        }
        return boost::chrono::duration_cast<boost::chrono::duration<double> >(w.elapsed()).count();
     }
     double test_construct()
     {
        std::allocator<T> a;
        T* pt = a.allocate(1000);
        stopwatch<boost::chrono::high_resolution_clock> w;
        for(unsigned i = 0; i < 1000; ++i)
        {
           for(unsigned i = 0; i < 1000; ++i)
              new(pt+i) T();
           for(unsigned i = 0; i < 1000; ++i)
              a.destroy(pt+i);
        }
        double result = boost::chrono::duration_cast<boost::chrono::duration<double> >(w.elapsed()).count();
        a.deallocate(pt, 1000);
        return result;
     }
     double test_construct_unsigned()
     {
        std::allocator<T> a;
        T* pt = a.allocate(1000);
        stopwatch<boost::chrono::high_resolution_clock> w;
        for(unsigned i = 0; i < 1000; ++i)
        {
           for(unsigned i = 0; i < 1000; ++i)
              new(pt+i) T(i);
           for(unsigned i = 0; i < 1000; ++i)
              a.destroy(pt+i);
        }
        double result = boost::chrono::duration_cast<boost::chrono::duration<double> >(w.elapsed()).count();
        a.deallocate(pt, 1000);
        return result;
     }
     double test_construct_unsigned_ll()
     {
        std::allocator<T> a;
        T* pt = a.allocate(1000);
        stopwatch<boost::chrono::high_resolution_clock> w;
        for(unsigned i = 0; i < 1000; ++i)
        {
           for(unsigned long long j = 0; j < 1000; ++j)
              new(pt+j) T(j);
           for(unsigned j = 0; j < 1000; ++j)
              a.destroy(pt+j);
        }
        double result = boost::chrono::duration_cast<boost::chrono::duration<double> >(w.elapsed()).count();
        a.deallocate(pt, 1000);
        return result;
     }
  
     //
     // Hetero operations:
     //
     template <class U>
     static U get_hetero_test_value(boost::mpl::false_ const&)
     {
        return U(2) / 3;
     }
     template <class U>
     static U get_hetero_test_value(boost::mpl::true_ const&)
     {
        return (std::numeric_limits<U>::max)() >> 4;
     }
     template <class U>
     static U get_hetero_test_value()
     {
        return get_hetero_test_value<U>(boost::is_integral<U>());
     }
     template <class U>
     double test_multiply_hetero()
     {
        static const U val = get_hetero_test_value<U>();
        stopwatch<boost::chrono::high_resolution_clock> w;
        for(unsigned i = 0; i < 1000; ++i)
        {
           for(unsigned i = 0; i < b.size(); ++i)
              a[i] = b[i] * val;
        }
        return boost::chrono::duration_cast<boost::chrono::duration<double> >(w.elapsed()).count();
     }
     template <class U>
     double test_inplace_multiply_hetero()
     {
        static const U val = get_hetero_test_value<U>();
        for(unsigned i = 0; i < b.size(); ++i)
           a[i] = b[i];
        stopwatch<boost::chrono::high_resolution_clock> w;
        for(unsigned i = 0; i < 1000; ++i)
        {
           for(unsigned i = 0; i < b.size(); ++i)
              a[i] *= val;
        }
        return boost::chrono::duration_cast<boost::chrono::duration<double> >(w.elapsed()).count();
     }
     template <class U>
     double test_add_hetero()
     {
        static const U val = get_hetero_test_value<U>();
        stopwatch<boost::chrono::high_resolution_clock> w;
        for(unsigned i = 0; i < 1000; ++i)
        {
           for(unsigned i = 0; i < b.size(); ++i)
              a[i] = b[i] + val;
        }
        return boost::chrono::duration_cast<boost::chrono::duration<double> >(w.elapsed()).count();
     }
     template <class U>
     double test_inplace_add_hetero()
     {
        static const U val = get_hetero_test_value<U>();
        for(unsigned i = 0; i < b.size(); ++i)
           a[i] = b[i];
        stopwatch<boost::chrono::high_resolution_clock> w;
        for(unsigned i = 0; i < 1000; ++i)
        {
           for(unsigned i = 0; i < b.size(); ++i)
              a[i] += val;
        }
        return boost::chrono::duration_cast<boost::chrono::duration<double> >(w.elapsed()).count();
     }
     template <class U>
     double test_subtract_hetero()
     {
        static const U val = get_hetero_test_value<U>();
        stopwatch<boost::chrono::high_resolution_clock> w;
        for(unsigned i = 0; i < 1000; ++i)
        {
           for(unsigned i = 0; i < b.size(); ++i)
              a[i] = b[i] - val;
        }
        return boost::chrono::duration_cast<boost::chrono::duration<double> >(w.elapsed()).count();
     }
     template <class U>
     double test_inplace_subtract_hetero()
     {
        static const U val = get_hetero_test_value<U>();
        for(unsigned i = 0; i < b.size(); ++i)
           a[i] = b[i];
        stopwatch<boost::chrono::high_resolution_clock> w;
        for(unsigned i = 0; i < 1000; ++i)
        {
           for(unsigned i = 0; i < b.size(); ++i)
              a[i] -= val;
        }
        return boost::chrono::duration_cast<boost::chrono::duration<double> >(w.elapsed()).count();
     }
     template <class U>
     double test_divide_hetero()
     {
        static const U val = get_hetero_test_value<U>();
        stopwatch<boost::chrono::high_resolution_clock> w;
        for(unsigned i = 0; i < 1000; ++i)
        {
           for(unsigned i = 0; i < b.size(); ++i)
              a[i] = b[i] / val;
        }
        return boost::chrono::duration_cast<boost::chrono::duration<double> >(w.elapsed()).count();
     }
     template <class U>
     double test_inplace_divide_hetero()
     {
        static const U val = get_hetero_test_value<U>();
        for(unsigned i = 0; i < b.size(); ++i)
           a[i] = b[i];
        stopwatch<boost::chrono::high_resolution_clock> w;
        for(unsigned i = 0; i < 1000; ++i)
        {
           for(unsigned i = 0; i < b.size(); ++i)
              a[i] /= val;
        }
        return boost::chrono::duration_cast<boost::chrono::duration<double> >(w.elapsed()).count();
     }
  private:
     T generate_random()
     {
        return generate_random(boost::mpl::int_<Type>());
     }
     T generate_random(const boost::mpl::int_<boost::multiprecision::number_kind_floating_point>&)
     {
        T val = gen();
        T prev_val = -1;
        while(val != prev_val)
        {
           val *= (gen.max)();
           prev_val = val;
           val += gen();
        }
        int e;
        val = frexp(val, &e);
  
        typedef typename T::backend_type::exponent_type e_type;
        static boost::random::uniform_int_distribution<e_type> ui(-30, 30);
        return ldexp(val, static_cast<int>(ui(gen)));
     }
     T generate_random(const boost::mpl::int_<boost::multiprecision::number_kind_integer>&)
     {
        typedef boost::random::mt19937::result_type random_type;
  
        T max_val;
        unsigned digits;
        if(std::numeric_limits<T>::is_bounded)
        {
           max_val = (std::numeric_limits<T>::max)();
           digits = std::numeric_limits<T>::digits;
        }
        else
        {
           max_val = T(1) << bits_wanted;
           digits = bits_wanted;
        }
  
        unsigned bits_per_r_val = std::numeric_limits<random_type>::digits - 1;
        while((random_type(1) << bits_per_r_val) > (gen.max)()) --bits_per_r_val;
  
        unsigned terms_needed = digits / bits_per_r_val + 1;
  
        T val = 0;
        for(unsigned i = 0; i < terms_needed; ++i)
        {
           val *= (gen.max)();
           val += gen();
        }
        val %= max_val;
        return val;
     }
     T generate_random(const boost::mpl::int_<boost::multiprecision::number_kind_rational>&)
     {
        typedef boost::random::mt19937::result_type random_type;
        typedef typename boost::multiprecision::component_type<T>::type IntType;
  
        IntType max_val;
        unsigned digits;
        if(std::numeric_limits<IntType>::is_bounded)
        {
           max_val = (std::numeric_limits<IntType>::max)();
           digits = std::numeric_limits<IntType>::digits;
        }
        else
        {
           max_val = IntType(1) << bits_wanted;
           digits = bits_wanted;
        }
  
        unsigned bits_per_r_val = std::numeric_limits<random_type>::digits - 1;
        while((random_type(1) << bits_per_r_val) > (gen.max)()) --bits_per_r_val;
  
        unsigned terms_needed = digits / bits_per_r_val + 1;
  
        IntType val = 0;
        IntType denom = 0;
        for(unsigned i = 0; i < terms_needed; ++i)
        {
           val *= (gen.max)();
           val += gen();
        }
        for(unsigned i = 0; i < terms_needed; ++i)
        {
           denom *= (gen.max)();
           denom += gen();
        }
        if(denom == 0)
           denom = 1;
        val %= max_val;
        denom %= max_val;
        return T(val, denom);
     }
     std::vector<T> a, b, c, small;
     static boost::random::mt19937 gen;
  };
  
  template <class N, int V>
  boost::random::mt19937 tester<N, V>::gen;
  
  const char* category_name(const boost::mpl::int_<boost::multiprecision::number_kind_integer>&)
  {
     return "integer";
  }
  const char* category_name(const boost::mpl::int_<boost::multiprecision::number_kind_floating_point>&)
  {
     return "float";
  }
  const char* category_name(const boost::mpl::int_<boost::multiprecision::number_kind_rational>&)
  {
     return "rational";
  }
  
  //
  // Keys in order are:
  // Category
  // Operator
  // Type
  // Precision
  // Time
  //
  std::map<std::string, std::map<std::string, std::map<std::string, std::map<int, double> > > > result_table;
  
  void report_result(const char* cat, const char* type, const char* op, unsigned precision, double time)
  {
     std::cout << std::left << std::setw(15) << type << std::setw(10) << precision << std::setw(35) << op << time << std::endl;
     result_table[cat][op][type][precision] = time;
  }
  
  template <class Number, int N>
  void test_int_ops(tester<Number, N>& t, const char* type, unsigned precision, const boost::mpl::int_<boost::multiprecision::number_kind_integer>&)
  {
     const char* cat = "integer";
     report_result(cat, type, "%", precision, t.test_mod());
     report_result(cat, type, "|", precision, t.test_or());
     report_result(cat, type, "&", precision, t.test_and());
     report_result(cat, type, "^", precision, t.test_xor());
     //report_result(cat, type, "~", precision, t.test_complement());
     report_result(cat, type, "<<", precision, t.test_left_shift());
     report_result(cat, type, ">>", precision, t.test_right_shift());
     // integer ops:
     report_result(cat, type, "%(int)", precision, t.test_mod_int());
     report_result(cat, type, "|(int)", precision, t.test_or_int());
     report_result(cat, type, "&(int)", precision, t.test_and_int());
     report_result(cat, type, "^(int)", precision, t.test_xor_int());
     report_result(cat, type, "gcd", precision, t.test_gcd());
     report_result(cat, type, "powm", precision, t.test_powm());
  }
  template <class Number, int N, class U>
  void test_int_ops(tester<Number, N>& t, const char* type, unsigned precision, const U&)
  {
  }
  
  template <class Number>
  void test(const char* type, unsigned precision)
  {
     bits_wanted = precision;
     tester<Number, boost::multiprecision::number_category<Number>::value> t;
     const char* cat = category_name(typename boost::multiprecision::number_category<Number>::type());
     //
     // call t.test_multiply() first so that the destination operands are
     // forced to perform whatever memory allocation may be needed.  That way
     // we measure only algorithm performance, and not memory allocation effects.
     //
     t.test_multiply();
     //
     // Now the actual tests:
     //
     report_result(cat, type, "+", precision, t.test_add());
     report_result(cat, type, "-", precision, t.test_subtract());
     report_result(cat, type, "*", precision, t.test_multiply());
     report_result(cat, type, "/", precision, t.test_divide());
     report_result(cat, type, "str", precision, t.test_str());
     // integer ops:
     report_result(cat, type, "+(int)", precision, t.test_add_int());
     report_result(cat, type, "-(int)", precision, t.test_subtract_int());
     report_result(cat, type, "*(int)", precision, t.test_multiply_int());
     report_result(cat, type, "/(int)", precision, t.test_divide_int());
     // construction and destruction:
     report_result(cat, type, "construct", precision, t.test_construct());
     report_result(cat, type, "construct(unsigned)", precision, t.test_construct_unsigned());
     report_result(cat, type, "construct(unsigned long long)", precision, t.test_construct_unsigned_ll());
     test_int_ops(t, type, precision, typename boost::multiprecision::number_category<Number>::type());
     // Hetero ops:
     report_result(cat, type, "+(unsigned long long)", precision, t.template test_add_hetero<unsigned long long>());
     report_result(cat, type, "-(unsigned long long)", precision, t.template test_subtract_hetero<unsigned long long>());
     report_result(cat, type, "*(unsigned long long)", precision, t.template test_multiply_hetero<unsigned long long>());
     report_result(cat, type, "/(unsigned long long)", precision, t.template test_divide_hetero<unsigned long long>());
     report_result(cat, type, "+=(unsigned long long)", precision, t.template test_inplace_add_hetero<unsigned long long>());
     report_result(cat, type, "-=(unsigned long long)", precision, t.template test_inplace_subtract_hetero<unsigned long long>());
     report_result(cat, type, "*=(unsigned long long)", precision, t.template test_inplace_multiply_hetero<unsigned long long>());
     report_result(cat, type, "/=(unsigned long long)", precision, t.template test_inplace_divide_hetero<unsigned long long>());
  }
  
  void quickbook_results()
  {
     //
     // Keys in order are:
     // Category
     // Operator
     // Type
     // Precision
     // Time
     //
     typedef std::map<std::string, std::map<std::string, std::map<std::string, std::map<int, double> > > >::const_iterator  category_iterator;
     typedef std::map<std::string, std::map<std::string, std::map<int, double> > >::const_iterator                          operator_iterator;
     typedef std::map<std::string, std::map<int, double> >::const_iterator                                                  type_iterator;
     typedef std::map<int, double>::const_iterator                                                                          precision_iterator;
  
     for(category_iterator i = result_table.begin(); i != result_table.end(); ++i)
     {
        std::string cat = i->first;
        cat[0] = std::toupper(cat[0]);
        std::cout << "[section:" << i->first << "_performance " << cat << " Type Perfomance]" << std::endl;
  
        for(operator_iterator j = i->second.begin(); j != i->second.end(); ++j)
        {
           std::string op = j->first;
           std::cout << "[table Operator " << op << std::endl;
           std::cout << "[[Backend]";
  
           for(precision_iterator k = j->second.begin()->second.begin(); k != j->second.begin()->second.end(); ++k)
           {
              std::cout << "[" << k->first << " Bits]";
           }
           std::cout << "]\n";
  
           std::vector<double> best_times(j->second.begin()->second.size(), (std::numeric_limits<double>::max)());
           for(unsigned m = 0; m < j->second.begin()->second.size(); ++m)
           {
              for(type_iterator k = j->second.begin(); k != j->second.end(); ++k)
              {
                 precision_iterator l = k->second.begin();
                 std::advance(l, m);
                 if(best_times[m] > l->second)
                    best_times[m] = l->second ? l->second : best_times[m];
              }
           }
  
           for(type_iterator k = j->second.begin(); k != j->second.end(); ++k)
           {
              std::cout << "[[" << k->first << "]";
  
              unsigned m = 0;
              for(precision_iterator l = k->second.begin(); l != k->second.end(); ++l)
              {
                 double rel_time = l->second / best_times[m];
                 if(rel_time == 1)
                    std::cout << "[[*" << rel_time << "]";
                 else
                    std::cout << "[" << rel_time;
                 std::cout << " (" << l->second << "s)]";
                 ++m;
              }
  
              std::cout << "]\n";
           }
  
           std::cout << "]\n";
        }
  
        std::cout << "[endsect]" << std::endl;
     }
  }
  
  
  int main()
  {
  #ifdef TEST_INT64
     test<boost::uint64_t>("boost::uint64_t", 64);
  #endif
  #ifdef TEST_MPF
     test<boost::multiprecision::mpf_float_50>("gmp_float", 50);
     test<boost::multiprecision::mpf_float_100>("gmp_float", 100);
     test<boost::multiprecision::mpf_float_500>("gmp_float", 500);
  #endif
  #ifdef TEST_MPZ
     test<boost::multiprecision::mpz_int>("gmp_int", 128);
     test<boost::multiprecision::mpz_int>("gmp_int", 256);
     test<boost::multiprecision::mpz_int>("gmp_int", 512);
     test<boost::multiprecision::mpz_int>("gmp_int", 1024);
  #endif
  #ifdef TEST_CPP_INT
     //test<boost::multiprecision::number<boost::multiprecision::cpp_int_backend<64, 64, boost::multiprecision::unsigned_magnitude, boost::multiprecision::unchecked, void>, boost::multiprecision::et_off> >("cpp_int(unsigned, fixed)", 64);
     //test<boost::multiprecision::number<boost::multiprecision::cpp_int_backend<64, 64, boost::multiprecision::signed_magnitude, boost::multiprecision::unchecked, void>, boost::multiprecision::et_off> >("cpp_int(fixed)", 64);
     test<boost::multiprecision::number<boost::multiprecision::cpp_int_backend<128, 128, boost::multiprecision::signed_magnitude, boost::multiprecision::unchecked, void>, boost::multiprecision::et_off> >("cpp_int(fixed)", 128);
     test<boost::multiprecision::number<boost::multiprecision::cpp_int_backend<256, 256, boost::multiprecision::signed_magnitude, boost::multiprecision::unchecked, void>, boost::multiprecision::et_off> >("cpp_int(fixed)", 256);
     test<boost::multiprecision::number<boost::multiprecision::cpp_int_backend<512, 512, boost::multiprecision::signed_magnitude, boost::multiprecision::unchecked, void>, boost::multiprecision::et_off> >("cpp_int(fixed)", 512);
     test<boost::multiprecision::number<boost::multiprecision::cpp_int_backend<1024, 1024, boost::multiprecision::signed_magnitude, boost::multiprecision::unchecked, void>, boost::multiprecision::et_off> >("cpp_int(fixed)", 1024);
  
     test<boost::multiprecision::cpp_int>("cpp_int", 128);
     test<boost::multiprecision::cpp_int>("cpp_int", 256);
     test<boost::multiprecision::cpp_int>("cpp_int", 512);
     test<boost::multiprecision::cpp_int>("cpp_int", 1024);
  #endif
  #ifdef TEST_CPP_INT_RATIONAL
     test<boost::multiprecision::cpp_rational>("cpp_rational", 128);
     test<boost::multiprecision::cpp_rational>("cpp_rational", 256);
     test<boost::multiprecision::cpp_rational>("cpp_rational", 512);
     test<boost::multiprecision::cpp_rational>("cpp_rational", 1024);
  #endif
  #ifdef TEST_MPQ
     test<boost::multiprecision::mpq_rational>("mpq_rational", 128);
     test<boost::multiprecision::mpq_rational>("mpq_rational", 256);
     test<boost::multiprecision::mpq_rational>("mpq_rational", 512);
     test<boost::multiprecision::mpq_rational>("mpq_rational", 1024);
  #endif
  #ifdef TEST_TOMMATH
     test<boost::multiprecision::tom_int>("tommath_int", 128);
     test<boost::multiprecision::tom_int>("tommath_int", 256);
     test<boost::multiprecision::tom_int>("tommath_int", 512);
     test<boost::multiprecision::tom_int>("tommath_int", 1024);
     /*
     //
     // These are actually too slow to test!!!
     //
     test<boost::multiprecision::tom_rational>("tom_rational", 128);
     test<boost::multiprecision::tom_rational>("tom_rational", 256);
     test<boost::multiprecision::tom_rational>("tom_rational", 512);
     test<boost::multiprecision::tom_rational>("tom_rational", 1024);
     */
  #endif
  #ifdef TEST_CPP_DEC_FLOAT
     test<boost::multiprecision::cpp_dec_float_50>("cpp_dec_float", 50);
     test<boost::multiprecision::cpp_dec_float_100>("cpp_dec_float", 100);
     test<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<500> > >("cpp_dec_float", 500);
  #endif
  #ifdef TEST_CPP_BIN_FLOAT
     test<boost::multiprecision::cpp_bin_float_50>("cpp_bin_float", 50);
     test<boost::multiprecision::cpp_bin_float_100>("cpp_bin_float", 100);
     test<boost::multiprecision::number<boost::multiprecision::cpp_bin_float<500> > >("cpp_bin_float", 500);
  #endif
  #ifdef TEST_MPFR
     test<boost::multiprecision::mpfr_float_50>("mpfr_float", 50);
     test<boost::multiprecision::mpfr_float_100>("mpfr_float", 100);
     test<boost::multiprecision::mpfr_float_500>("mpfr_float", 500);
  #endif
     quickbook_results();
     return 0;
  }
  
  